Product of independent random variables involving inverted hypergeometric function type I variables

The type I inverted hypergeometric function distribution has the probability density function proportional to [formula] where 2F1 is the Gaussian hypergeometric function. In this article, the product probability density function is derived from two independent random variables that are distributed according to the inverse hypergeometric type I function. Other products are also considered among random variables with beta distribution type I, beta type II, beta type III , hypergeometric function type I, inverse hypergeometric function type I and Kummer – beta.

• Autores: Zarrazola, Edwin; Krishna Nagar, Daya
• Fecha de publicación: 2009
• Institución: Universidad EAFIT
• Repositorio: Repositorio EAFIT
• Idioma: eng
• OAI Identifier: oai:repository.eafit.edu.co:10784/14503
• Acceso en línea: http://hdl.handle.net/10784/14503
• Palabra clave: Appell'S First Hypergeometric Function; Beta Distribution; Humbert Confluent Hypergeometric Function; Gauss Hypergeometric Function; Product; Transformation; Primera Función Hipergeométrica De Appell; Distribución Beta; Función Hipergeométrica Confluente De Humbert; Función Hipergeométrica De Gauss; Producto; Transformación
• License: Copyright (c) 2009 Edwin Zarrazola, Daya Krishna Nagar